Doctor said nose is not broken, but there is a bump on the right side. What could it be?

Trauma to the nose can cause a displaced or non-displaced nasal fracture. The upper lateral cartilages can also be fractured off of the nasal bones. This may or may not show up on x-ray. Anytime there is trauma to the nose, bone and cartilage react and can cause a callous formation which may or may not go away. Since it has only been one week it will most likely settle down over the next month or two. Once he is 18, if it is still present it can be filed down and the nasal bones re-set if they are crooked.

Best plan is to see a boarded Plastic Surgeon i person so that the nose can be examined. Sometimes X-Rays do not demonstrate fractures this early...